Dynamic front transitions and spiral-vortex nucleation

Christian Elphick, Aric Hagberg, and Ehud Meron
Phys. Rev. E 51, 3052 – Published 1 April 1995
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Abstract

This is a study of front dynamics in reaction diffusion systems near nonequilibrium Ising-Bloch bifurcations. We find that the relation between front velocity and perturbative factors, such as external fields and curvature, is typically multivalued. This unusual form allows small perturbations to induce dynamic transitions between counterpropagating fronts and to nucleate spiral vortices. We use these findings to propose explanations for a few numerical and experimental observations, including spiral breakup driven by advective fields, and spot splitting.

  • Received 11 April 1994

DOI:https://doi.org/10.1103/PhysRevE.51.3052

©1995 American Physical Society

Authors & Affiliations

Christian Elphick

  • Department of Physics, Universidad Técnica Federico Santa Maria, Valparaiso, Casilla 110-V, Chile

Aric Hagberg

  • Center for Nonlinear Studies, Los Alamos National Laboratory, Los Alamos, New Mexico 87545

Ehud Meron

  • The Jacob Blaustein Institute for Desert Research and The Physics Department, Ben-Gurion University, Sede Boker Campus 84990, Israel

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Issue

Vol. 51, Iss. 4 — April 1995

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